Comparison Display

CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 40 Hz
Transfer device: Back-to-back accelerometer type 8305

Degrees of equivalence D_i and expanded uncertainty (k = 2) U_i, both expressed in pC/(m/s²)x10^-4

Click on the graph to get a closer view and the names of the laboratories

Red diamonds : participants in CCAUV.V-K1 (2000 - 2001)
Pink diamonds : participants in CCAUV.V-K1.1 only (2006 - 2007)
Blue squares : participants in EUROMET.AUV.V-K1 only (2003 - 2004)
Orange circles : participants in EUROMET.AUV.V-K1.1 (2006)
Purple circles : participants in APMP.AUV.V-K1.2 (2009)

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CCAUV.V-K1, CCAUV.V-K1, APMP.AUV.V-K1, EUROMET.AUV.V-K1, SIM.AUV.V-K1, EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device: Back-to-back accelerometer type 8305

Degrees of equivalence D_i and expanded uncertainty (k = 2) U_i, both expressed in pC/(m/s²)x10^-4

Click on the graph to get a closer view and the names of the laboratories

Red diamonds : participants in CCAUV.V-K1 (2000 - 2001)
Pink diamonds : participants in CCAUV.V-K1.1 only (2006 - 2007)
Green triangles : participants in APMP.AUV.V-K1 only (1996 - 1997)
Blue squares : participants in EUROMET.AUV.V-K1 only (2003 - 2004)
Black circles : participants in SIM.AUV.V-K1 only (1997 - 1999)
Orange circles : participants in EUROMET.AUV.V-K1.1 (2006)
Purple circles : participants in APMP.AUV.V-K1.2 (2009)

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device: Single-ended accelerometer type 8305

Degrees of equivalence D_i and expanded uncertainty (k = 2) U_i, both expressed in pC/(m/s²)x10^-4

Click on the graph to get a closer view and the names of the laboratories

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 5 kHz
Transfer device: Back-to-back accelerometer type 8305

Degrees of equivalence D_i and expanded uncertainty (k = 2) U_i, both expressed in pC/(m/s²)x10^-4

Click on the graph to get a closer view and the names of the laboratories

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer device : Back-to-back accelerometer type 8305

Degrees of equivalence relative to the key comparison reference value :
D_i and expanded uncertainty (k = 2) U_i both expressed in pC/(m/s²)x10^-4

Graphs are available for 6 frequency values:
40 Hz, 80 Hz, 160 Hz, 800 Hz, 2 kHz and 5 kHz

Frequency: 40 Hz

Frequency: 80 Hz

Frequency: 160 Hz
Click on the Graph to get a closer view and the names of the laboratories

Frequency: 800 Hz

Frequency: 2 kHz

Frequency: 5 kHz

Red diamonds : participants in CCAUV.V-K1 (2000 - 2001)
Pink diamonds : participants in CCAUV.V-K1.1 only (2006 - 2007)
Green triangles : participants in APMP.AUV.V-K1 only (1996 - 1997)
Blue squares : participants in EUROMET.AUV.V-K1 only (2003 - 2004)
Black circles : participants in SIM.AUV.V-K1 only (1997 - 1999)
Orange circles : participants in EUROMET.AUV.V-K1.1 (2006)
Purple circles : participants in APMP.AUV.V-K1.2 (2009)

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer device : Single-ended accelerometer type 8305 WH 2335

Degrees of equivalence relative to the key comparison reference value :
D_i and expanded uncertainty (k = 2) U_i both expressed in pC/(m/s²)x10^-4

Graphs are available for 5 frequency values:
40 Hz, 80 Hz, 160 Hz, 800 Hz and 2 kHz

Frequency: 40 Hz

Frequency: 80 Hz

Frequency: 160 Hz

Frequency: 800 Hz

Frequency: 2000 Hz

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 40 Hz
Transfer device: Back-to-back accelerometer type 8305

Full set of degrees of equivalence relative to the CCAUV.V-K1 key comparison reference value:

Red : participants in CCAUV.V-K1 (2000 - 2001)
Pink : participants in CCAUV.V-K1.1 only (2006 - 2007)
Blue : participants in EUROMET.AUV.V-K1 only (2003 - 2004)
Orange : participants in EUROMET.AUV.V-K1.1 (2006)
Purple : participants in APMP.AUV.V-K1.2 (2009)

The pair-wise degrees of equivalence given in the table below involve participants in CCAUV.V-K1 and CCAUV.V-K1.1 only.


Lab i	D_i	U_i

PTB	0.6	0.8
BNM-CESTA	1.2	6.3
CSIRO-NML	1.2	5.0
CMI	-0.9	5.7
CSIR-NML	9.2	11.4
CENAM	-1.7	6.2
NRC	-1.1	3.7
KRISS	-1.1	4.5
NMIJ	-2.9	5.2
VNIIM	-5.4	5.0
NIST	1.2	3.7
NMi-VSL	-0.9	3.1
NIM*	0.3	6.5
NPLI*	1.2	9.0
INMETRO*	0.0	3.3

* participants in CCAUV.V-K1.1 only

The degrees of equivalence and the pair-wise degrees of equivalence displayed in the table above are expressed in pC/(m/s²)x10^-4.

Pair-wise degrees of equivalence involving participants in EUROMET.AUV.V-K1, EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2 are available in Summary Results (PDF file).

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CCAUV.V-K1, CCAUV.V-K1.1, APMP.AUV.V-K1, EUROMET.AUV.V-K1, SIM.AUV.V-K1, EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device: Back-to-back accelerometer type 8305

Full set of degrees of equivalence relative to the CCAUV.V-K1 key comparison reference value:

Red : participants in CCAUV.V-K1 (2000 - 2001)
Pink : participants in CCAUV.V-K1.1 only (2006 - 2007)
Green : participants in APMP.AUV.V-K1 only (1996 - 1997)
Blue : participants in EUROMET.AUV.V-K1 only (2003 - 2004)
Black : participants in SIM.AUV.V-K1 only (1997 - 1999)
Orange : participants in EUROMET.AUV.V-K1.1 (2006)
Purple: participants in APMP.AUV.V-K1.2 (2009)

Matrix of equivalence for CCAUV.V-K1, CCAUV.V-K1.1, APMP.AUV.V-K1, and EUROMET.AUV.V-K1:


Lab i	D_i	U_i

PTB	0.1	0.8
BNM-CESTA	0.7	6.3
CSIRO-NML	-0.3	3.7
CMI	-0.3	5.7
CSIR-NML	-0.3	6.3
CENAM	-0.3	6.3
NRC	1.2	3.6
KRISS	-1.4	4.5
NMIJ	-0.3	5.4
VNIIM	1.9	5.0
NIST	-1.3	3.7
NMi-VSL	-0.3	4.2
NIM*	-0.2	2.8
NPLI*	2.4	9.0
INMETRO*	-0.3	3.3
CMS/ITRI**	-4.5	13.4
NML-SIRIM**	0.3	4.0
GUM***	-1.8	7.7
DPLA***	-1.0	2.9
INRIM***	-1.0	4.5
SP***	3.9	5.2
INETI***	-2.0	5.2
UME***	-0.1	6.4
BEV***	-2.6	7.2
CEM***	0.4	7.7
METAS***	-6.6	8.6

* participants in CCAUV.V-K1.1 only
** participants in APMP.AUV.V-K1 only
*** participants in EUROMET.AUV.V-K1 only

The degrees of equivalence and the pair-wise degrees of equivalence displayed in the table above are expressed in pC/(m/s²)x10^-4.

Pair-wise degrees of equivalence involving participants in EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2 are available in the Summary Results for the BB accelerometer at 160 Hz (PDF file).

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device: Single-ended accelerometer type 8305

Full set of degrees of equivalence relative to the CCAUV.V-K1 key comparison reference value:

The pair-wise degrees of equivalence given in the table below involve participants in CCAUV.V-K1, and CCAUV.V-K1.1 only.


Lab i	D_i	U_i

PTB	0.3	0.9
BNM-CESTA	3.1	6.4
CSIRO-NML	-0.9	3.7
CMI	0.1	5.9
CSIR-NML	-2.9	6.4
CENAM	-1.3	6.4
NRC	1.5	3.6
KRISS	-1.9	4.5
NMIJ	-2.1	5.5
VNIIM	-1.7	5.1
NIST	1.1	3.8
NMi-VSL	-0.5	4.3
NIM*	1.8	2.9
NPLI*	3.7	9.2
INMETRO*	1.1	3.5

* participants in CCAUV.V-K1.1 only

The degrees of equivalence and the pair-wise degrees of equivalence displayed in the table above are expressed in pC/(m/s²)x10^-4.

Pair-wise degrees of equivalence involving participants in EUROMET.AUV.V-K1, EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2 are available in Summary Results (PDF file).

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 5kHz
Transfer device: Back-to-back accelerometer type 8305

Full set of degrees of equivalence relative to the CCAUV.V-K1 key comparison reference value:

The pair-wise degrees of equivalence given in the table below involve participants in CCAUV.V-K1, and CCAUV.V-K1.1 only.


Lab i	D_i	U_i

PTB	-0.3	1.7
BNM-CESTA	-	-
CSIRO-NML	1.4	4.8
CMI	-0.2	7.5
CSIR-NML	-1.6	8.8
CENAM	-0.6	10.2
NRC	-0.7	13.8
KRISS	0.9	5.2
NMIJ	-0.6	17.0
VNIIM	13.8	9.1
NIST	-1.6	15.4
NMi-VSL	-0.8	48.8
NIM*	-3.3	6.6
NPLI*	-50.6	12.5
INMETRO*	-2.7	13.0

* participants in CCAUV.V-K1.1 only

The degrees of equivalence and the pair-wise degrees of equivalence displayed in the table above are expressed in pC/(m/s²)x10^-4.

Pair-wise degrees of equivalence involving participants in EUROMET.AUV.V-K1, EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2 are available in Summary Results (PDF file).

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer device : Back-to-back accelerometer type 8305

Degrees of equivalence relative to the key comparison reference value :
D_i and expanded uncertainty (k = 2) U_i both expressed in pC/(m/s²)x10^-4

Participants in CCAUV-V.K1

BNM-CESTA*: no data, measurement at shifted frequency
VNIIM**: results at frequencies from 1250 Hz to 5000 Hz excluded from the calculation of the key comparison reference value

Participants in CCAUV.V-K1.1

Participants in EUROMET.AUV.V-K1

Participants in EUROMET.AUV.V-K1.1
Participants in APMP.AUV.V-K1.2
Pair-wise degrees of equivalence are available in Summary Results (PDF file).

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer device : Single-ended accelerometer type 8305 WH 2335

Degrees of equivalence relative to the key comparison reference value :
D_i and expanded uncertainty (k = 2) U_i both expressed in pC/(m/s²)x10^-4

Participants in CCAUV.V-K1

Participants in CCAUV.V-K1.1

Participants in EUROMET.AUV.V-K1

Participants in EUROMET.AUV.V-K1.1

Participants in APMP.AUV.V-K1.2

There are no key comparison reference values and no degrees of equivalence relative to the key comparison reference value for frequencies from 2500 Hz to 5000 Hz.

Pair-wise degrees of equivalence are available in Summary Results (PDF file).

EUROMET.AUV.V-K1.1

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Information & contact
Participants

Metrology area, Sub-field	Acoustics, Ultrasound, Vibration, Vibration
Description	Vibration acceleration
Time of measurements	2006
Status	Approved for equivalence

Final Reports of the comparisons	Metrologia, 2010, 47, Tech. Suppl., 09001
Measurand	Magnitude of sensitivity in pC/(m/s²)
Parameters	Frequency: 40 Hz to 5 kHz
Transfer device	Standard accelerometers

Comparison type	Key Comparison
Consultative Committee	CCAUV (Consultative Committee for Acoustics, Ultrasound and Vibration)
Conducted by	EURAMET (European Association of National Metrology Institutes)
RMO Internal Identifier	EUROMET Project No 897
Comments	Results published on 23 January 2010 Charge sensitivity measurements at 22 nominal frequencies ranging from 40 Hz to 5 kHz, using a Back-to-back (BB) accelerometer and a Single-ended (SE) accelerometer CCAUV.V-K1.1, APMP.AUV.V-K1, EUROMET.AUV.V-K1, SIM.AUV.V-K1, EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2 results are linked to those of CCAUV.V-K1 for common accelerometers and frequencies.
Pilot institute	PTB Physikalisch-Technische Bundesanstalt Germany
Contact person	Thomas BRUNS +49 (0) 531 592 1700

Pilot laboratory
PTB	Physikalisch-Technische Bundesanstalt, Germany, EURAMET

BEV	Bundesamt für Eich- und Vermessungswesen, Austria, EURAMET

INETI

Instituto Nacional de Engenharia e Tecnologia Industrial (merged into IPQ), Portugal, EURAMET

LNE	Laboratoire national de métrologie et d'essais, France, EURAMET

NCM	National Centre of Metrology, now BIM (Bulgarian Institute of Metrology), Bulgaria, EURAMET

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 40 Hz
Transfer device : Back-to-back accelerometer type 8305

Key comparison CCAUV.V-K1

The key comparison reference value, x_R, is computed as the weighted mean of all participant results. Its combined standard uncertainty, u_R, is obtained as the standard deviation of the weighted mean.
x_R = 0.12658 pC/(m/s²), u_R = 0.00005 pC/(m/s²) and u_R/x_R = 0.04x10^-2.

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: D_i = x_i - x_R, and its expanded uncertainty (k = 2), U_i,
U_i = 2(u_i² - u_R²)^1/2.

The degree of equivalence between two laboratories i and j is given by a pair of terms:
D_ij = D_i - D_j = x_i - x_j and its expanded uncertainty (k = 2), U_ij = 2(u_i² + u_j²)^1/2.

Linking CCAUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and is used as the linking laboratory. The computation of the linkage is in Section 8.2 on page 78 of the CCAUV.V-K1.1 Final Report.

Linking EUROMET.AUV.V-K1 to CCAUV.V-K1

The PTB, BNM-CESTA and CMI participated in both comparisons and were used as linking laboratories, as explained in Appendix A of the EUROMET.AUV.V-K1 Final Report.

Linking EUROMET.AUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and was used as linking laboratory, as explained in section 8 of the EUROMET.AUV.V-K1.1 Final Report.

Linking APMP.AUV.V-K1.2 to CCAUV.V-K1

The NIM participated in both comparisons and was used as linking laboratory, as explained in section 8 of the APMP.AUV.V-K1.2 Final Report.

The linkage processes make it possible to extend the graph of equivalence obtained for CCAUV.V-K1 (Back-to-back accelerometer, frequency 40 Hz) to include results from other key comparisons.

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CCAUV.V-K1, CCAUV.V-K1.1, APMP.AUV.V-K1, EUROMET.AUV.V-K1, SIM.AUV.V-K1, EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device : Back-to-back accelerometer type 8305

Key comparison CCAUV.V-K1

The key comparison reference value, x_R, is computed as the weighted mean of all participant results. Its combined standard uncertainty, u_R, is obtained as the standard deviation of the weighted mean.
x_R = 0.12663 pC/(m/s²), u_R = 0.00005 pC/(m/s²) and u_R/x_R = 0.04x10^-2.

Linking CCAUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and is used as the linking laboratory. The computation of the linkage is in Section 8.2 on page 78 of the CCAUV.V-K1.1 Final Report.

Linking APMP.AUV.V-K1 to CCAUV.V-K1

The linkage between APMP.AUV.V-K1 and CCAUV.V-K1 is computed only at the frequency of 160 Hz.
The CSIRO-NML, KRISS, NMIJ, and PTB participated in both comparisons and were used as linking laboratories, as explained on pages 3 and 4 of the Linkage Report.

Linking EUROMET.AUV.V-K1 to CCAUV.V-K1

The PTB, BNM-CESTA and CMI participated in both comparisons and were used as linking laboratories, as explained in Appendix A of the EUROMET.AUV.V-K1 Final Report.

Linking SIM.AUV.V-K1 to CCAUV.V-K1

The NRC and NIST participated in both comparisons and were used as linking laboratories. The linkage process is explained in Section III-4 on page 84 of the SIM.AUV.V-K1 Final Report.

Linking EUROMET.AUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and was used as linking laboratory, as explained in section 8 of the EUROMET.AUV.V-K1.1 Final Report.

Linking APMP.AUV.V-K1.2 to CCAUV.V-K1

The NIM participated in both comparisons and was used as linking laboratory, as explained in section 8 of the APMP.AUV.V-K1.2 Final Report.

The linkage processes make it possible to extend the graph of equivalence obtained for CCAUV.V-K1 (Back-to-back accelerometer, frequency 160 Hz) to include results from other key comparisons.

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device : Single-ended accelerometer type 8305

Key comparison CCAUV.V-K1

The key comparison reference value, x_R, is computed as the weighted mean of all participant results. Its combined standard uncertainty, u_R, is obtained as the standard deviation of the weighted mean.
x_R = 0.12899 pC/(m/s²), u_R = 0.00005 pC/(m/s²) and u_R/x_R = 0.04x10^-2.

Linking CCAUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and is used as the linking laboratory. The computation of the linkage is in Section 8.2 on page 78 of the CCAUV.V-K1.1 Final Report.

Linking EUROMET.AUV.V-K1 to CCAUV.V-K1

The PTB, BNM-CESTA and CMI participated in both comparisons and were used as linking laboratories, as explained in Appendix A of the EUROMET.AUV.V-K1 Final Report.

Linking EUROMET.AUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and was used as linking laboratory, as explained in section 8 of the EUROMET.AUV.V-K1.1 Final Report.

Linking APMP.AUV.V-K1.2 to CCAUV.V-K1

The NIM participated in both comparisons and was used as linking laboratory, as explained in section 8 of the APMP.AUV.V-K1.2 Final Report.

The linkage processes make it possible to extend the graph of equivalence obtained for CCAUV.V-K1 (Single-ended accelerometer, frequency 160 Hz) to include results from other key comparisons.

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 5 kHz
Transfer device : Back-to-back accelerometer type 8305

Key comparison CCAUV.V-K1

The key comparison reference value, x_R, is computed as the weighted mean of all participant results except BNM-CESTA and VNIIM. Its combined standard uncertainty, u_R, is obtained as the standard deviation of the weighted mean.
x_R = 0.12936 pC/(m/s²), u_R = 0.00010 pC/(m/s²) and u_R/x_R = 0.08x10^-2.

Linking CCAUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and is used as the linking laboratory. The computation of the linkage is in Section 8.2 on page 78 of the CCAUV.V-K1.1 Final Report.

Linking EUROMET.AUV.V-K1 to CCAUV.V-K1

The PTB and the CMI participated in both comparisons were used as linking laboratories, as explained in Appendix A of the EUROMET.AUV.V-K1 Final Report.

Linking EUROMET.AUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and was used as linking laboratory, as explained in section 8 of the EUROMET.AUV.V-K1.1 Final Report.

Linking APMP.AUV.V-K1.2 to CCAUV.V-K1

The NIM participated in both comparisons and was used as linking laboratory, as explained in section 8 of the APMP.AUV.V-K1.2 Final Report.

The linkage processes make it possible to extend the graph of equivalence obtained for CCAUV.V-K1 (Back-to-back accelerometer, frequency 5 kHz) to include results from other key comparisons.

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer device : Back-to-back accelerometer type 8305

Key comparison CCAUV.V-K1

One key comparison reference value, x_R, is computed for each frequency as a weighted mean of the participant results.
x_R is based on 12 laboratories at frequencies of 40 Hz to 1 kHz, 11 laboratories at 1.25 kHz to 3.15 kHz and 10 laboratories at 4 kHz and 5 kHz.
The combined standard uncertainty, u_R, of each key comparison reference value is obtained as the standard deviation of the weighted mean.

The degree of equivalence of each laboratory with respect to the reference value is given by a pair of terms: D_i = x_i - x_R, and its expanded uncertainty (k = 2), U_i.
U_i is generally given by U_i = 2(u_i² - u_R²)^1/2. For laboratories excluded from the calculation of x_R, U_i = 2(u_i² + u_R²)^1/2.

The degree of equivalence between two laboratories i and j is given by a pair of terms:
D_ij = x_i - x_j and its expanded uncertainty (k = 2), U_ij = 2(u_i² + u_j²)^1/2.

The full matrices of equivalence are computed in four cases: Back-to-back accelerometer at frequency 40 Hz, 160 Hz and 5 kHz, and Single-ended accelerometer at frequency 160 Hz. Use the surfing links provided on the left of the page to access the corresponding values and graphs.

Graph of the key comparison reference values, x_R and associated standard uncertainty u_R, both expressed in pC/(m/s²), versus the frequency expressed in Hz

Blue diamonds: Back-to-back accelerometer type 8305 S/N 1483337
Green squares: Single-ended accelerometer type 8305 WH 2335 S/N 1610174

Linking CCAUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and is used as the linking laboratory. The computation of the linkage is in Section 8.2 on page 78 of the CCAUV.V-K1.1 Final Report.

Linking EUROMET.AUV.V-K1 to CCAUV.V-K1

The PTB, BNM-CESTA and CMI participated in both comparisons and were used as linking laboratories, as explained in Appendix A of the EUROMET.AUV.V-K1 Final Report.

Linking EUROMET.AUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and was used as linking laboratory, as explained in section 8 of the EUROMET.AUV.V-K1.1 Final Report.

Linking APMP.AUV.V-K1.2 to CCAUV.V-K1

The NIM participated in both comparisons and was used as linking laboratory, as explained in section 8 of the APMP.AUV.V-K1.2 Final Report.

The linkage processes make it possible to extend the graphs of equivalence obtained for CCAUV.V-K1 to include results from other key comparisons.

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer device : Single-ended accelerometer type 8305 WH 2335

CCAUV.V-K1 key comparison

One key comparison reference value, x_R, is computed for each frequency as a weighted mean of the participant results.
No reference values are available from 2.5 kHz to 5 kHz.
The combined standard uncertainty, u_R, of each key comparison reference value is obtained as the standard deviation of the weighted mean.

The degree of equivalence between two laboratories i and j is given by a pair of terms:
D_ij = x_i - x_j and its expanded uncertainty (k = 2), U_ij = 2(u_i² + u_j²)^1/2.

Graph of the key comparison reference values, x_R and associated standard uncertainty u_R, both expressed in pC/(m/s²), versus the frequency expressed in Hz

Blue diamonds: Back-to-back accelerometer type 8305 S/N 1483337
Green squares: Single-ended accelerometer type 8305 WH 2335 S/N 1610174

Linking CCAUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and is used as the linking laboratory. The computation of the linkage is in Section 8.2 on page 78 of the CCAUV.V-K1.1 Final Report.

Linking EUROMET.AUV.V-K1 to CCAUV.V-K1

The PTB, BNM-CESTA and CMI participated in both comparisons and were used as linking laboratories, as explained in Appendix A of the EUROMET.AUV.V-K1 Final Report.

Linking EUROMET.AUV.V-K1.1 to CCAUV.V-K1

The PTB participated in both comparisons and was used as linking laboratory, as explained in section 8 of the EUROMET.AUV.V-K1.1 Final Report.

Linking APMP.AUV.V-K1.2 to CCAUV.V-K1

The NIM participated in both comparisons and was used as linking laboratory, as explained in section 8 of the APMP.AUV.V-K1.2 Final Report.

The linkage processes make it possible to extend the graphs of equivalence obtained for CCAUV.V-K1 to include results from other key comparisons.

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

Key comparison CCAUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : 40 Hz
Transfer device : Back-to-back accelerometer type 8305 S/N 1483337

x_i : result of measurement carried out by laboratory i
u_i : combined standard uncertainty of x_i

Lab i	x_i / [pC/(m/s²)]	u_i/x_i / 10^-2

PTB	0.12665	0.05
BNM-CESTA	0.12670	0.25
CSIRO-NML	0.12670	0.20
CMI	0.12649	0.23
CSIR-NML	0.12750	0.45
CENAM	0.12641	0.25
NRC	0.12647	0.15
KRISS	0.12647	0.18
NMIJ	0.12629	0.21
VNIIM	0.12604	0.20
NIST	0.12670	0.15
NMi-VSL	0.12650	0.13

Key comparison CCAUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : 40 Hz
Transfer device : Back-to-back accelerometer type 8305 designated as "B2B"

x_i-K1.1 : result of measurement carried out by laboratory i
u_i-K1.1 : combined standard uncertainty of x_i_-K1.12u_i_-K1.1: expanded uncertainty (k = 2) of x_i-K1.1

Lab i	x_i / [pC/(m/s²)]	2u_i/x_i / 10^-2
PTB	0.12598	0.10
NIM	0.12601	0.50
NPLI	0.12610	0.70
INMETRO	0.12598	0.24

Key comparison EUROMET.AUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : 40 Hz
Transfer devices : Back-to-back (BB) accelerometers type 8305 S/N 2355677 and S/N 606559

x_i-EUR : result of measurement carried out by laboratory i in EUROMET.AUV.V-K1
u_i-EUR : combined standard uncertainty of x_i-EUR

Lab i	x_i-EUR / [pC/(m/s²)]	u_i-EUR/x_i-EUR / 10^-2
BB S/N 2355677
PTB	0.12798	0.05
BNM-CESTA	0.1278	0.25
GUM	0.12793	0.30
DPLA	0.12776	0.173
INRIM	0.1278	0.17
SP	0.1283	0.2
INETI	0.1278	0.42
CMI	0.12769	0.25
UME	0.12803	0.25
BB S/N 606559
PTB	0.12648	0.05
BEV	0.1261	0.3
CEM	0.1267	0.3
METAS	0.1258	0.366

BNM-CESTA was a participant in the CIPM MRA at the time of CCAUV.V-K1 and EUROMET.AUV.V-K1 comparisons.

Key comparison EUROMET.AUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : 40 Hz
Transfer devices : Back-to-back (BB) accelerometers type 8305 S/N 2161771

x_i-EUR-K1.1 : result of measurement carried out by laboratory i in EUROMET.AUV.V-K1.1
u_i-EUR-K1.1 : combined standard uncertainty of x_i_-EUR-K1.1U_i_-EUR-K1.1 : expanded uncertainty of x_i_-EUR-K1.1,U_i_-EUR-K1.1=2u_i_-EUR-K1.1

Lab i	x_i-EUR-K1.1 / [pC/(m/s²)]	U_i-EUR-K1.1 / %
PTB	0.12505	0.10
INETI	0.12558	0.51
BEV	0.12500	0.60
LNE	0.12502	0.60
NCM	0.12515	0.20

Key comparison APMP.AUV.V-K1.2

The individual measurements of NIM, KIM-LIPI and NPLI are available in Table 6 of the APMP.AUV.V-K1.2 Final Report.

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CCAUV.V-K1, CCAUV.V-K1.1, APMP.AUV.V-K1, EUROMET.AUV.V-K1, SIM.AUV.V-K1, EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

Key comparison CCAUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device : Back-to-back accelerometer type 8305 S/N 1483337

x_i : result of measurement carried out by laboratory i
u_i : combined standard uncertainty of x_i

Lab i	x_i / [pC/(m/s²)]	u_i/x_i / 10^-2
PTB	0.12664	0.05
BNM-CESTA	0.12670	0.25
CSIRO-NML	0.12660	0.15
CMI	0.12660	0.23
CSIR-NML	0.12660	0.25
CENAM	0.12660	0.25
NRC	0.12675	0.15
KRISS	0.12649	0.18
NMIJ	0.12660	0.22
VNIIM	0.12682	0.20
NIST	0.12650	0.15
NMi-VSL	0.12660	0.17

Key comparison CCAUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device : Back-to-back accelerometer type 8305 designated as "B2B"

x_i : result of measurement carried out by laboratory i
u_i : combined standard uncertainty of x_i

Lab i	x_i / [pC/(m/s²)]	2u_i/x_i / 10^-2
PTB	0.12606	0.10
NIM	0.12604	0.20
NPLI	0.12630	0.70
INMETRO	0.12603	0.24

Key comparison APMP.AUV.V-K1

MEASURAND : Amplified charge sensitivity
FREQUENCY : 160 Hz
Transfer device : Back-to-back accelerometer type 8305 S/N 1610202 with charge amplifier type 2626, S/N 1242511

x_i : result of measurement carried out by laboratory i participant in APMP.AUV.V-K1 only, normalized through the linking coefficient 0.12710 pC/mV to the CCAUV.V-K1, see page 3 and page 8 of the Linkage Report
u_i : combined standard uncertainty of x_i

Lab i	x_i / [pC/(m/s²)]	u_i/x_i / 10^-2
CMS/ITRI	0.12618	0.53
NML-SIRIM	0.12666	0.16

Key comparison EUROMET.AUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer devices : Back-to-back (BB) accelerometers type 8305 S/N 2355677 and S/N 606559

x_i : result of measurement carried out by laboratory i participant in EUROMET.AUV.V-K1
u_i : combined standard uncertainty of x_i

Lab i	x_i / [pC/(m/s²)]	u_i/x_i / 10^-2
BB S/N 2355677
PTB	0.12801	0.05
BNM-CESTA	0.128	0.25
GUM	0.12782	0.30
DPLA	0.1279	0.102
INRIM	0.1279	0.17
SP	0.1284	0.2
INETI	0.1278	0.2
CMI	0.12785	0.25
UME	0.12799	0.25
BB S/N 606559
PTB	0.12646	0.05
BEV	0.1262	0.28
CEM	0.1265	0.3
METAS	0.1258	0.338

BNM-CESTA was a participant in the CIPM MRA at the time of CCAUV.V-K1 and EUROMET.AUV.V-K1 comparisons.

Key comparison SIM.AUV.V-K1

MEASURAND : Amplified charge sensitivity
FREQUENCY : 160 Hz
Transfer device : Back-to-back (BB) accelerometer type 8305 S/N 1687773 with charge amplifier S/N 1662291

x_i : result of measurement carried out by laboratory i participant in SIM.AUV.V-K1
u_i : combined standard uncertainty of x_i

Lab i	x_i / [pC/(m/s²)]	u_i/x_i / 10^-2
NRC	0.1251	0.15
INMETRO	0.1251	0.25
CENAM	0.1252	0.25
INTI	0.1247	0.55
NIST	0.1251	0.15

Key comparison EUROMET.AUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer devices : Back-to-back (BB) accelerometers type 8305 S/N 2161771

x_i : result of measurement carried out by laboratory i in EUROMET.AUV.V-K1.1
u_i : combined standard uncertainty of x_i

Lab i	x_i / [pC/(m/s²)]	2u_i/x_i / 10^-2
PTB	0.12521	0.10
INETI	0.12549	0.32
BEV	0.12472	0.56
LNE	0.12526	0.60
NCM	0.12519	0.20

Key comparison APMP.AUV.V-K1.2

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device : Back-to-back (BB) accelerometer type 8305 S/N 2440139

x_i : result of measurement carried out by laboratory i participant in APMP.AUV.V-K1.2
u_i : combined standard uncertainty of x_i

Lab i	x_i / [pC/(m/s²)]	2u_i/x_i / 10^-2
NIM	0.1280	0.5
KIM-LIPI	0.1278	0.68
NPLI	0.1284	0.7

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

Key comparison CCAUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device : Single-ended accelerometer type 8305 WH 2335 S/N 1610174

x_i : result of measurement carried out by laboratory i
u_i : combined standard uncertainty x_i

Lab i	x_i / [pC/(m/s²)]	u_i/x_i / 10^-2

PTB	0.12902	0.05
BNM-CESTA	0.12930	0.25
CSIRO-NML	0.12890	0.15
CMI	0.12900	0.23
CSIR-NML	0.12870	0.25
CENAM	0.12886	0.25
NRC	0.12914	0.15
KRISS	0.12880	0.18
NMIJ	0.12878	0.22
VNIIM	0.12882	0.20
NIST	0.12910	0.15
NMi-VSL	0.12895	0.17

Key comparison CCAUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device : Single-ended (SE) accelerometer type 8305

x_i-K1.1 : result of measurement carried out by laboratory i
u_i-K1.1 : combined standard uncertainty of x_i_-K1.12u_i_-K1.1: expanded uncertainty (k = 2) of x_i-K1.1

Lab i	x_i / [pC/(m/s²)]	2u_i/x_i / 10^-2
PTB	0.13080	0.1048
NIM	0.13098	0.2027
NPLI	0.13117	0.6996
INMETRO	0.13091	0.2490

Key comparison EUROMET.AUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer device : Single-ended (SE) accelerometer type 8305 WH 2335 S/N 2361558

x_i-EUR : result of measurement carried out by laboratory i in EUROMET.AUV.V-K1
u_i-EUR : combined standard uncertainty x_i-EUR

Lab i	x_i-EUR / [pC/(m/s²)]	u_i-EUR/x_i-EUR / 10^-2

PTB	0.12592	0.05
BNM-CESTA	0.126	0.25
GUM	0.12578	0.30
DPLA	0.1259	0.102
INRIM	0.1257	0.17
SP*	0.1262	0.2
INETI*	0.1259	0.203
CMI*	0.1261	0.25
UME*	0.12631	0.25
BEV*	0.1265	0.21
CEM*	0.1265	0.3
METAS*	0.1266	0.34

* The results of these laboratories were corrected before further calculation to take into account the change in the sensitivity of the SE accelerometer, which occured during the comparison. The values given here are stated without the correction.

BNM-CESTA was a participant in the CIPM MRA at the time of CCAUV.V-K1 and EUROMET.AUV.V-K1 comparisons.

Key comparison EUROMET.AUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : 160 Hz
Transfer devices : Single-ended (SE) accelerometers type 8305 WH 2335 S/N 1610168

Lab i	x_i-EUR-K1.1 / [pC/(m/s²)]	U_i-EUR-K1.1 / %
PTB	0.13070	0.10
INETI	0.13090	0.26
BEV	0.13040	0.56
LNE	0.13068	0.60
NCM	0.13065	0.20

Key comparison APMP.AUV.V-K1.2

The individual measurements of NIM, KIM-LIPI and NPLI are available in Table 5 of the APMP.AUV.V-K1.2 Final Report.

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

Key comparison CCAUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : 5 kHz
Transfer device : Back-to-back accelerometer type 8305 S/N 1483337

x_i : result of measurement carried out by laboratory i
u_i : combined standard uncertainty x_i

Lab i	x_i / [pC/(m/s²)]	u_i/x_i / 10^-2

PTB	0.12934	0.10
BNM-CESTA	-	-
CSIRO-NML	0.12950	0.20
CMI	0.12935	0.30
CSIR-NML	0.12920	0.35
CENAM	0.12931	0.40
NRC	0.12930	0.54
KRISS	0.12946	0.22
NMIJ	0.12931	0.66
VNIIM	0.13074	0.34
NIST	0.12920	0.60
NMi-VSL	0.12929	1.89

BNM-CESTA: no data, measurement at shifted frequency

Key comparison CCAUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : 5 kHz
Transfer device : Back-to-back accelerometer type 8305 designated as "B2B"

x_i-K1.1 : result of measurement carried out by laboratory i
u_i-K1.1 : combined standard uncertainty of x_i_-K1.12u_i_-K1.1: expanded uncertainty (k = 2) of x_i-K1.1

Lab i	x_i / [pC/(m/s²)]	2u_i/x_i / 10^-2
PTB	0.12884	0.10
NIM	0.12851	0.50
NPLI	0.12380	1.00
INMETRO	0.12857	1.00

Key comparison EUROMET.AUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : 5 kHz
Transfer devices : Back-to-back (BB) accelerometers type 8305 S/N 2355677 and S/N 606559

x_i-EUR : result of measurement carried out by laboratory i in EUROMET.AUV.V-K1
u_i-EUR : combined standard uncertainty x_i-EUR

Lab i	x_i-EUR / [pC/(m/s²)]	u_i-EUR/x_i-EUR / 10^-2
BB S/N 2355677
PTB	0.13077	0.1
BNM-CESTA	0.131	0.25
GUM	0.1306	0.30
DPLA	0.13054	0.149
INRIM	0.1304	0.28
SP	0.1312	0.65
INETI	-	-
CMI	0.13105	0.4
UME	0.13135	0.5
BB S/N 606559
PTB	0.129	0.15
BEV	0.1291	0.33
CEM	0.129	0.33
METAS	0.1281	0.466

BNM-CESTA was a participant in the CIPM MRA at the time of CCAUV.V-K1 and EUROMET.AUV.V-K1 comparisons.

Key comparison EUROMET.AUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : 5 kHz
Transfer devices : Back-to-back (BB) accelerometers type 8305 S/N 2161771

Lab i	x_i-EUR-K1.1 / [pC/(m/s²)]	U_i-EUR-K1.1 / %
PTB	0.12791	0.10
INETI	0.12820	0.68
BEV	0.12740	0.66
LNE	0.12741	0.60
NCM	0.12791	0.50

Key comparison APMP.AUV.V-K1.2

The individual measurements of NIM, KIM-LIPI and NPLI are available in Table 6 of the AUV.AUV.V-K1.2 Final Report.

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

Key comparison CCAUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer device : Back-to-back accelerometer type 8305 S/N 1483337

x_i : result of measurement carried out by laboratory i, expressed in pC/(m/s²)
u_i : combined standard uncertainty x_i, u_i/x_i expressed in 10^-2

BNM-CESTA: no data at 4 kHz and 5 kHz (measurement at shifted frequencies)

Key comparison CCAUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer device : Back-to-back accelerometer type 8305 designated as "B2B"

The laboratory individual measurement resuts are reported in page 34 of the CCAUV.V-K1.1 Final Report.

Key comparison EUROMET.AUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer devices : Back-to-back (BB) accelerometers type 8305 S/N 2355677 and S/N 606559

x_i-EUR : result of measurement carried out by laboratory i in EUROMET.AUV.V-K1 expressed in pC/(m/s²)
u_i-EUR : combined standard uncertainty x_i_-EUR, u_i_-EUR/x_i_-EUR expressed in 10^-2

BNM-CESTA was a participant in the CIPM MRA at the time of CCAUV.V-K1 and EUROMET.AUV.V-K1 comparisons.

Key comparison EUROMET.AUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer devices : Back-to-back (BB) accelerometers type 8305 S/N 2161771

Key comparison APMP.AUV.V-K1.2

The individual measurements of NIM, KIM-LIPI and NPLI are available in Table 6 of the APMP.AUV.V-K1.2 Final Report.

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CCAUV.V-K1, CCAUV.V-K1.1, EUROMET.AUV.V-K1,
EUROMET.AUV.V-K1.1 and APMP.AUV.V-K1.2

Key comparison CCAUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer device : Single-ended accelerometer type 8305 WH 2335 S/N 1610174

x_i : result of measurement carried out by laboratory i, expressed in pC/(m/s²)
u_i : combined standard uncertainty x_i, u_i/x_i expressed in 10^-2

BNM-CESTA: no data at 4 kHz and 5 kHz (measurement at shifted frequencies)

Key comparison CCAUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer device : Single-ended (SE) accelerometer type 8305

The laboratory individual measurement resuts are reported in page 22 of the CCAUV.V-K1.1 Final Report.

Key comparison EUROMET.AUV.V-K1

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer device : Single-ended (SE) accelerometer type 8305 WH 2335 S/N 2361558

x_i-EUR : result of measurement carried out by laboratory i in EUROMET.AUV.V-K1 expressed in pC/(m/s²)
u_i-EUR : combined standard uncertainty x_i_-EUR, u_i_-EUR/x_i_-EUR expressed in 10^-2

*The results of these laboratories were corrected before further calculation to take into account the change in the sensitivity of the SE accelerometer, which occured during the comparison. The values given here are stated without the correction.

BNM-CESTA was a participant in the CIPM MRA at the time of CCAUV.V-K1 and EUROMET.AUV.V-K1 comparisons.

Key comparison EUROMET.AUV.V-K1.1

MEASURAND : Charge sensitivity
FREQUENCY : from 40 Hz to 5 kHz
Transfer devices : Single-ended (SE) accelerometers type 8305 WH 2335 S/N 1610168

Key comparison APMP.AUV.V-K1.2

The individual measurements of NIM, KIM-LIPI and NPLI are available in Table 5 of the APMP.AUV.V-K1.2 Final Report.

KCDB

CIPM MRA

CLASSIFICATION OF SERVICES

Key and supplementary comparisons - Print out